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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 199 · 40 sums
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The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

NameDateTime takenScore ___ / 40
  1. 1.A garden has 28 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 28 : 36 (c) 7 : 9 (d) 9 : 7
  2. 2.A team has 24 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 6 (b) 6 : 7 (c) 24 : 28 (d) 7 : 8
  3. 3.If 9 mangoes cost ₹423, how many rupees do 7 mangoes cost?
  4. 4.Write the ratio 8 : 56 in its simplest form. (a) 8 : 56 (b) 1 : 7 (c) 7 : 1 (d) 2 : 8
  5. 5.A team has 10 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 5 (b) 5 : 4 (c) 10 : 8 (d) 4 : 5
  6. 6.Write the ratio 15 : 21 in its simplest form. (a) 6 : 8 (b) 7 : 5 (c) 15 : 21 (d) 5 : 7
  7. 7.Are 20, 25, 8 and 13 in proportion? (a) Yes (b) No
  8. 8.If 5 chocolates cost ₹15, how many rupees do 10 chocolates cost?
  9. 9.A basket has 40 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 40 : 25 (b) 5 : 8 (c) 8 : 5 (d) 9 : 6
  10. 10.If 9 mangoes cost ₹477, how many rupees do 8 mangoes cost?
  11. 11.₹2000 is shared between Pooja and Riya in the ratio 3 : 7. How many rupees does Pooja get?
  12. 12.Are 12, 21, 16 and 28 in proportion? (a) No (b) Yes
  13. 13.5 : 9 = 50 : ?
  14. 14.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  15. 15.3 : 8 = ? : 80
  16. 16.If 3 pens cost ₹78, how many rupees do 7 pens cost?
  17. 17.A library shelf has 14 storybooks and 49 science books. What is the ratio of storybooks to science books in its simplest form? (a) 14 : 49 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
  18. 18.Are 3, 12, 9 and 36 in proportion? (a) No (b) Yes
  19. 19.A team has 2 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 1 (b) 2 : 10 (c) 1 : 5 (d) 2 : 6
  20. 20.A basket has 21 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 21 : 14 (d) 4 : 3
  21. 21.₹1020 is shared between Isha and Lakshmi in the ratio 8 : 9. How many rupees does Lakshmi get?
  22. 22.A class has 24 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 24 : 40
  23. 23.1 : 5 = 4 : ?
  24. 24.If 5 bus tickets cost ₹25, how many rupees do 4 bus tickets cost?
  25. 25.A box has 8 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 1 : 6 (c) 6 : 1 (d) 8 : 48
  26. 26.Write the ratio 81 : 72 in its simplest form. (a) 10 : 9 (b) 9 : 8 (c) 8 : 9 (d) 81 : 72
  27. 27.Are 2, 12, 9 and 55 in proportion? (a) No (b) Yes
  28. 28.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  29. 29.A garden has 8 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 14 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
  30. 30.Write the ratio 25 : 15 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 25 : 15 (d) 3 : 5
  31. 31.Write the ratio 30 : 48 in its simplest form. (a) 8 : 5 (b) 5 : 8 (c) 30 : 48 (d) 6 : 9
  32. 32.Are 14, 16, 21 and 25 in proportion? (a) No (b) Yes
  33. 33.1 : 6 = ? : 18
  34. 34.1 : 5 = 7 : ?
  35. 35.A library shelf has 15 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 15 : 10
  36. 36.Write the ratio 24 : 18 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 24 : 18 (d) 4 : 3
  37. 37.2 : 7 = 4 : ?
  38. 38.Are 6, 12, 9 and 18 in proportion? (a) Yes (b) No
  39. 39.A garden has 4 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 4 : 10 (d) 3 : 6
  40. 40.If 9 chocolates cost ₹81, how many rupees do 5 chocolates cost?

Answer key

  1. 7 : 9
  2. 6 : 7
  3. 329
  4. 1 : 7
  5. 5 : 4
  6. 5 : 7
  7. No
  8. 30
  9. 8 : 5
  10. 424
  11. 600
  12. Yes
  13. 90
  14. 300
  15. 30
  16. 182
  17. 2 : 7
  18. Yes
  19. 1 : 5
  20. 3 : 2
  21. 540
  22. 3 : 5
  23. 20
  24. 20
  25. 1 : 6
  26. 9 : 8
  27. No
  28. 375
  29. 4 : 7
  30. 5 : 3
  31. 5 : 8
  32. No
  33. 3
  34. 35
  35. 3 : 2
  36. 4 : 3
  37. 14
  38. Yes
  39. 2 : 5
  40. 45

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